Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ey |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-998400000000 = -1 · 216 · 3 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-48063] |
[a1,a2,a3,a4,a6] |
Generators |
[677:17600:1] |
Generators of the group modulo torsion |
j |
-4/975 |
j-invariant |
L |
5.1548256832382 |
L(r)(E,1)/r! |
Ω |
0.40171942732176 |
Real period |
R |
3.2079763465398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cw1 15600o1 12480ck1 |
Quadratic twists by: -4 8 5 |